Details

Time bar (total: 22.3s)

sample36.0ms

Algorithm
intervals
Results
11.0ms241×body80valid
2.0ms13×body640valid
1.0ms12×body320valid
1.0ms14×body160valid
1.0ms5×body1280valid
0.0ms2×body2560valid

simplify8.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (17.0ms)

IterNodesCost
01113
12013
24513
311612
432212
577012
6155612
7286512
8469812
done500012

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
13.9b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
35.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series221.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- y x) (- a t))
153.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0118918
1270890
2658838
31740836
done5000830

prune242.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- y x) (/ 1 (- a t)))
13.9b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
28.0ms
(/ 1 (- a t))
85.0ms
(* (- y x) (/ 1 (- a t)))
1.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series252.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 1 (- a t))
69.0ms
(* (- y x) (/ 1 (- a t)))
120.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify2.5s

Counts
114 → 114
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01551285
13451052
2954948
33237946
done5001946

prune450.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
4.7b
(* (/ (- y x) (- a t)) (- z t))
5.0b
(+ (* (/ (- y x) (- a t)) (- z t)) x)

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
28.0ms
(/ (- y x) (- a t))
133.0ms
(* (/ (- y x) (- a t)) (- z t))
56.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)

series669.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (- y x) (- a t))
343.0ms
(* (/ (- y x) (- a t)) (- z t))
248.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)

simplify1.9s

Counts
179 → 179
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02563107
16672740
219442516
done50002490

prune627.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.6b
(* (- y x) (/ (- z t) (- a t)))
4.0b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
44.0ms
(/ (- z t) (- a t))
110.0ms
(* (- y x) (/ (- z t) (- a t)))
43.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series460.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- z t) (- a t))
146.0ms
(* (- y x) (/ (- z t) (- a t)))
256.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify1.2s

Counts
135 → 135
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01891881
14871765
217691669
done50001667

prune406.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.6b

regimes528.0ms

Accuracy

23.4% (6.6b remaining)

Error of 10.3b against oracle of 3.6b and baseline of 12.3b

bsearch106.0ms

Steps
ItersRangePoint
10
9.204633376218544e-210
2.0007789822909896e-198
6.11750959997633e-206
7
-5.925413525790681e-145
-6.231127244252839e-147
-5.0163026358082865e-145

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02144
12533
done2533

end0.0ms

sample1.7s

Algorithm
intervals
Results
700.0ms7591×body80valid
131.0ms500×body640valid
86.0ms289×body1280valid
67.0ms423×body320valid
62.0ms288×body160valid
8.0ms23×body2560valid